Finding the Third Proportional to 4,937 and 10,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,937 : 10,785.50 = 10,785.50 : x
2. Step 2: Convert to fraction form
   4,937/10,785.50 = 10,785.50/x
3. Step 3: Cross multiply
   4,937x = 10,785.50 × 10,785.50
4. Step 4: Simplify right side
   4,937x = 116,327,010.25
5. Step 5: Solve for x
   x = 116,327,010.25/4,937
6. Step 6: Final answer
   x = 23,562.29